Find the value of $sec$ on the unit circle for an angle of $60^circ$.
Answer 1
Charlotte Davis
First, recall that $\sec \theta = \frac{1}{\cos \theta}$.
For $\theta = 60^\circ$, we know from the unit circle that $\cos 60^\circ = \frac{1}{2}$.
Therefore,
$\sec 60^\circ = \frac{1}{\cos 60^\circ} = \frac{1}{\frac{1}{2}} = 2.$
Answer 2
Benjamin Clark
We start with the definition $sec heta = frac{1}{cos heta}$.
Given $ heta = 60^circ$, we find $cos 60^circ$ from the unit circle, which is $frac{1}{2}$.
This gives us:
$sec 60^circ = frac{1}{frac{1}{2}} = 2.$
Answer 3
Emily Hall
The secant function is defined as $sec heta = frac{1}{cos heta}$.
At $60^circ$, $cos 60^circ = frac{1}{2}$, so:
$sec 60^circ = 2.$
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